A note on the stability of the local time of a wiener process

Let L(a, t) be the local time of a Wiener process, and put . It is shown that if g(t)=t1/2(log t)-1(log log t)-1 and . A similar result is proved for random g(t) depending on the maximum of the Wiener process. These results settle a problem posed by Csörgo and Révész [7].

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Year of publication:	1987
Authors:	Csáki, Endre ; Földes, Antónia
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 25.1987, p. 203-213
Publisher:	Elsevier
Subject:	local time Wiener process diffusion

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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